List of curves
Template:Short description This is a list of Wikipedia articles about curves used in different fields: mathematics (including geometry, statistics, and applied mathematics), physics, engineering, economics, medicine, biology, psychology, ecology, etc.
Mathematics (Geometry)Edit
Algebraic curvesEdit
Rational curvesEdit
Rational curves are subdivided according to the degree of the polynomial.
Degree 1Edit
Degree 2Edit
Plane curves of degree 2 are known as conics or conic sections and include
Degree 3Edit
Cubic plane curves include
- Cubic parabola
- Folium of Descartes
- Cissoid of Diocles
- Conchoid of de Sluze
- Right strophoid
- Semicubical parabola
- Serpentine curve
- Trident curve
- Trisectrix of Maclaurin
- Tschirnhausen cubic
- Witch of Agnesi
Degree 4Edit
Quartic plane curves include
- Ampersand curve
- Bean curve
- Bicorn
- Bow curve
- Bullet-nose curve
- Cartesian oval
- Conchoid of Dürer
- Cruciform curve
- Deltoid curve
- Devil's curve
- Hippopede
- Kampyle of Eudoxus
- Kappa curve
- Lemniscate
- Limaçon
- Ovals of Cassini
- Squircle
- Three-leaved clover
Degree 5Edit
Degree 6Edit
- Astroid
- Atriphtaloid
- Nephroid
- Quadrifolium
Curve families of variable degreeEdit
- Epicycloid
- Epispiral
- Epitrochoid
- Hypocycloid
- Hypotrochoid
- Lissajous curve
- Poinsot's spirals
- Rational normal curve
- Rose curve
Curves with genus 1Edit
Curves with genus > 1Edit
- Bolza surface (genus 2)
- Klein quartic (genus 3)
- Bring's curve (genus 4)
- Macbeath surface (genus 7)
- Butterfly curve (algebraic) (genus 7)
Curve families with variable genusEdit
- Polynomial lemniscate
- Fermat curve
- Sinusoidal spiral
- Superellipse
- Hurwitz surface
- Elkies trinomial curves
- Hyperelliptic curve
- Classical modular curve
- Cassini oval
Transcendental curvesEdit
- Bowditch curve
- Brachistochrone
- Butterfly curve (transcendental)
- Catenary
- Clélies
- Cochleoid
- Cycloid
- Horopter
- Isochrone
- Isochrone of Huygens (Tautochrone)
- Isochrone of Leibniz[1]
- Isochrone of Varignon[2]
- Lamé curve
- Pursuit curve
- Rhumb line
- Sinusoid
- Spirals
- Syntractrix
- Tractrix
- Trochoid
Piecewise constructionsEdit
Fractal curvesEdit
- Blancmange curve
- De Rham curve
- Dragon curve
- Koch curve
- Lévy C curve
- Sierpiński curve
- Space-filling curve (Peano curve)
See also List of fractals by Hausdorff dimension.
Space curves/Skew curvesEdit
- Conchospiral
- Helix
- Hemihelix, a quasi-helical shape characterized by multiple tendril perversions
- Tendril perversion (a transition between back-to-back helices)
- Seiffert's spiral [4]
- Slinky spiral [5]
- Space cardioid
- Twisted cubic
- Viviani's curve
Curves generated by other curvesEdit
- Caustic including Catacaustic and Diacaustic
- Cissoid
- Conchoid
- Evolute
- Glissette
- Inverse curve
- Involute
- Isoptic including Orthoptic
- Negative pedal curve
- Orthotomic
- Parallel curve
- Pedal curve
- Radial curve
- Roulette
- Strophoid
Applied Mathematics/Statistics/Physics/EngineeringEdit
- Bathtub curve
- Bell curve
- Calibration curve
- Curve of growth (astronomy)
- Fletcher–Munson curve
- Galaxy rotation curve
- Gompertz curve
- Growth curve (statistics)
- Kruithof curve
- Light curve
- Logistic curve
- Paschen curve
- Robinson–Dadson curves
- Stress–strain curve
- Space-filling curve
Economics/BusinessEdit
- Contract curve
- Cost curve
- Demand curve
- Duck curve
- Engel curve
- Hubbert curve
- Indifference curve
- J curve
- Kuznets curve
- Laffer curve
- Lorenz curve
- Phillips curve
- Supply curve
Medicine/BiologyEdit
- Cardiac function curve
- Dose–response curve
- Growth curve (biology)
- Oxygen–hemoglobin dissociation curve
PsychologyEdit
EcologyEdit
See alsoEdit
- Gallery of curves
- List of curves topics
- List of spirals
- List of surfaces
- Riemann surface
- Spherical curve
External linksEdit
- Famous Curves Index
- Two Dimensional Curves
- Visual Dictionary of Special Plane Curves
- Curves and Surfaces Index (Harvey Mudd College)
- National Curve Bank
- An elementary treatise on cubic and quartic curves by Alfred Barnard Basset (1901) online at Google Books